Hypocenter Determination with Non-negative Depth

Determination of the largest pit with the non-negative net profit in the open pit mines

The determination of the Ultimate Pit Limit (UPL) is the first step in the open pit mine planning process. In this stage that parts of the mineral deposit that are economic to mine are determined. There are several mathematical, heuristic and meta-heuristic algorithms to determine UPL. The optimization criterion in these algorithms is maximization of the total profit whilst satisfying...

Hypocenter location by pattern recognition

[1] A novel approach to hypocenter location is proposed on the basis the concept of pattern recognition. A new data misfit criterion for location is introduced which measures discrepancies between the observed arrival times of an event and those of ‘‘nearby’’ previous events. In the arrival pattern misfit measure, travel times predicted by an Earth model are effectively replaced by information ...

Statistical Inference in Autoregressive Models with Non-negative Residuals

Normal residual is one of the usual assumptions of autoregressive models but in practice sometimes we are faced with non-negative residuals case. In this paper we consider some autoregressive models with non-negative residuals as competing models and we have derived the maximum likelihood estimators of parameters based on the modified approach and EM algorithm for the competing models. Also,...

Small graphs with exactly two non-negative eigenvalues

Let $G$ be a graph with eigenvalues $lambda_1(G)geqcdotsgeqlambda_n(G)$. In this paper we find all simple graphs $G$ such that $G$ has at most twelve vertices and $G$ has exactly two non-negative eigenvalues. In other words we find all graphs $G$ on $n$ vertices such that $nleq12$ and $lambda_1(G)geq0$, $lambda_2(G)geq0$ and $lambda_3(G)0$, $lambda_2(G)>0$ and $lambda_3(G)

Depth-corrected versus Non Depth-corrected Gfr Determination by Quantitative Renal Scintigraphy in the Dog